Transformations of linear Hamiltonian systems preserving oscillatory behaviour
Archivum Mathematicum (1991)
- Volume: 027, Issue: 3-4, page 211-219
- ISSN: 0044-8753
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top- Ahlbrandt C.D., Equivalent boundary value problems for self-adjoint differential systems, J. Diff Equations, vol 9, 1971, 420-435. (1971) Zbl0218.34020MR0284636
- Atkinson F.V, Discrete and Continuous Boundary Value Problems, 1964, Acad. Press., New York. MR0176141
- Barrett J.H, Oscillation theory of ordinary differential equations, Adv. in Math., vol З, 1969, 415-509. (1969) MR0257462
- Coppel W.A., Disconjugacy, Lecture Notes in Math., 1971, Berlin - New York - Heidelbeгg. (1971) Zbl0224.34003MR0460785
- Došlá Z., Zezra P., Singular quadratic functionals with free endpoints, in preparation.
- Došlý O., On transformation of self-adjoint differential systems and their reciprocals, Annal. Pol. Math. 50, 1990, 223-234. (1990)
- Došlý O., On some properties of trigonometric matrices, Čas. pěst. mat., vol 112, 1987. (1987) Zbl0642.34024MR0897644
- Hartman P., Self-adjoint, non-oscillatory systems of ordinary, second order linear differential equations, Duke J. Math., vol 24, 1956, 25-35. (1956) MR0082591
- Jakubovič V.A., Oscillatory properties of solutions of canonical equations, Mat. Sb. (N. S.), vol 56, 1962, 3-42. (Russian) (1962) MR0138863
- Rasmussen C.H., Oscillation and asymptotic behaviour of systems of ordinary linear differential equations, T. A. M. S., vol 256, 1979, 1-48. (1979)
- Reid W.T., Sturmian Theory for Ordinary Differential Equations, Springer-Verlag, New York - Berlin - Heidelberg, 1980. (1980) Zbl0459.34001MR0606199
- Staněk S., Vosmanský J., Transformation of linear second order ordinary differential equations, Arch. Math., vol 22, 1986, 55-60. (1986) MR0868119